Use our free GCF of Fractions Calculator tool to compute the GCF of 975/337, 653/125 i.e 1/42125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 975/337, 653/125.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 975/337,653/125
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 975/337,653/125, numerators are 975,653
Denominators are 337,125
The GCF of 975,653 is 1 .
LCM of 337,125 is 42125.
The greatest common factor of 975/337,653/125 = [GCF of 975,653]/[LCM of 337,125]= 1/42125
Therefore, the GCF of 975/337,653/125 is 1/42125.
To find the highest common factor of 975,653, we have to find the factors of both numbers and list the highest common factor.
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The factors of 653 are 1, 653
The HCF of 975,653 is 1.
Lets's calculate GCF of 975,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 975,653 . The biggest common factor number is the GCF number.
So the greatest common factor 975,653 is 1.
Lets's calculate LCM of 337,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 42125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42125
Therefore, the GCF of Fractions 975/337,653/125 is 1/42125
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 337,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,125) x common factors =1 x 1 = 1
LCM(337,125) = ( 337 × 125 ) / 1
LCM(337,125) = 42125 / 1
LCM(337,125) = 42125
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 975,653?
The HCF of 975,653 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 975/337, 653/125?
Answer: GCF of Numerators as per given numbers 975/337, 653/125 is
GCF of Numerators i.e. for 975,653 is 1
LCM of denominators i.e. for 337,125 is 42125.
Thus, GCF of Fractions is 1/42125.Finally, GCF of Fractions for 975/337, 653/125 is 1/42125.